What is 76/81 Divided By 9/6

Solving $\frac{76}{81}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{81} \div \frac{9}{6} = \frac{76}{81} \times \frac{6}{9}$

• Multiply the Numerators: $76 \times 6 = 456$
• Multiply the Denominators: $81 \times 9 = 729$
• Form the New Fraction: $\frac{76}{81} \times \frac{9}{6} = \frac{456}{729}$

Let's Simplify $\frac{456}{729}$

• Find the Greatest Common Divisor (GCD) of $456$ and $729$. The GCD of $456$ and $729$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{456 \div 3}{729 \div 3} = \frac{152}{243}$

Answer $\frac{76}{81}\div\frac{9}{6} = \frac{152}{243}$

The following animation demonstrates the divide-by,